Empirical Orthogonal Functions (EOF)[1]} looks for linear relationships in the evolution of the wavefront over time and space. EOF has been successfully run both in simulation[1]}, during day-time testing at Keck Observatory[3]}, as well as on-sky at the Keck Observatory[4]} and the Subaru Telescope[5]}. Here we will briefly summarize the math behind building and applying the EOF predictive filter; the mathematical formalism is taken from Guyon & Males (2017)[1]} unless specified.
